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	<!--◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯ⵙ◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯--!>
	var O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O = new (window.AudioContext || window.webkitAudioContext)();
	var O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
	var O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O= O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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	O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**2;
	O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**3;
	O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**4;
	O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**5;
	O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**6;
	O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**7;
	O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**8;
	O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**9;
	O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**10;
	O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**11;
	O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**12;
	O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**13;
	O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**14;
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	O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
	O_EDON_NIAG_O_GAIN_NODE_O.connect(O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.destination);
	O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O.start();
	O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O.start();
	O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O.start();
	O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O.start();
	O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O.start();
	O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.start();
	O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.start();
	O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.start();
	O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.start();
	O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.start();
	O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.start();
	O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.start();
	O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.start();
	O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.start();
	O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.start();
	O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O.start();
	O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O.start();
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	<TITLE>⚪ᴥ⚪ᗱᗴ⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᗱᗴ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ᗝ⚪ᗱᗴ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᑐᑕ⚪ᗱᗴ⚪ߦ⚪ᔓᔕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᔓᔕ⚪ߦ⚪ᗱᗴ⚪ᑐᑕ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᗱᗴ⚪ᗝ⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ꗳ⚪ᑎ⚪ИN⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗱᗴ⚪◯⚪ߦ⚪ᙁ⚪Ⓞ⚪✤⚪ᗱᗴ⚪ᴥ⚪</TITLE>    


	<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/12.1.0/math.js"></script>
    <script src="https://cdn.plot.ly/plotly-latest.min.js"></script>
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<div align="center">
    <P STYLE="DISPLAY:NONE">𓊗</P><BR STYLE="DISPLAY:NONE"><span id="nVal" STYLE="DISPLAY:NONE"></span><BR STYLE="DISPLAY:NONE"><input type="range" id="n" min="1" max="16" value="8" style="width:100%;DISPLAY:NONE""><br STYLE="DISPLAY:NONE">
    <P STYLE="DISPLAY:NONE">✤</P><BR STYLE="DISPLAY:NONE"><span id="toVal" STYLE="DISPLAY:NONE"></span><BR STYLE="DISPLAY:NONE"><input type="range" id="to" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE;DISPLAY:NONE"><BR STYLE="DISPLAY:NONE">
    <P STYLE="DISPLAY:NONE">ꗳ</P><BR STYLE="DISPLAY:NONE"><span id="fromVal" STYLE="DISPLAY:NONE"></span><BR STYLE="DISPLAY:NONE"><input type="range" id="from" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="-6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE;DISPLAY:NONE"><BR STYLE="DISPLAY:NONE">
    <input type="text" id="formula" value="(1-cos(x*(4)/2))/2" !value="(1-cos(x*(4)/2))/2 ; acos(cos(x*(4)/2))/pi" style="width:100%; text-align:CENTER;COLOR:#CECECE;FONT-SIZE:16PX;DISPLAY:NONE"><BR STYLE="DISPLAY:NONE">
    <div id="k-graph"></div>
    <div id="function-graph"></div>
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		function clamp(x) {return math.max(math.min(x,1),0)}
		
        // JS equivalent for the map function
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        }
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        function plot() {
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            var N = Number(document.getElementById('n').value);

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            var to = toPIO2;

            var step = (to - from) / num_points;
            var x_vals = math.range(from, to, step, true).toArray();

            var k_trace = [];
            var function_trace = [];

            var all_x = [];
            var all_y = [];

            formulas.map((formula, i) => {
				var scope = {
				  clamp: function(x) { return math.max(math.min(x, 1), 0); }
				};
                var kappa_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
                var theta_vals = math.map(math.cumsum(kappa_vals), x => x * step);
                var x_coords = math.map(math.cumsum(math.map(theta_vals, math.cos)), x => x * step);
                var y_coords = math.map(math.cumsum(math.map(theta_vals, math.sin)), x => x * step);

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                    y: y_coords,
                    mode: 'lines+markers',
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					line:{width:1,color: '#CECECE' },
					marker:{size:2},
                    hovertemplate:'ꕤ %{x:.256f}'+'<br>人 %{y:.256f}',
                    name: ''
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                all_x.push(x_coords);
                all_y.push(y_coords);

                // Now creating the trace for y=f(x)
                var y_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));

                function_trace.push({
                    x: x_vals,
                    y: y_vals,
                    mode: 'lines+markers',
                    // optional features
					// line: { color: '#CECECE' }
					line:{width:1,color: '#CECECE' },
					marker:{size:2},
					hovertemplate:'ꕤ %{x:.256f}'+'<br>人 %{y:.256f}',
                    name: ''
                });

                all_x.push(x_vals);
                all_y.push(y_vals);
            });

            var layout = {
                margin: { l: 0, r: 0, b: 0, t: 0, pad: 0 },
                autosize: true,
                height: 428/4,
				xaxis: {scaleanchor:'y',scaleratio: 1,                              showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:1,tick0:0,dtick:1,showticklabels:false,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16},showspikes:false,spikethickness:1,spikedash:'solid',spikemode:'across'},
				yaxis: {range: [arrayMin(all_y)-(.0078125*4), arrayMax(all_y)+(.0078125*4)],showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:1,tick0:0,dtick:1,showticklabels:false,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16},showspikes:false,spikethickness:1,spikedash:'solid',spikemode:'across'},
                hovermode: 'closest',
				dragmode: false,
                showlegend: false,
                hoverlabel: { bgcolor: "#FFFFFF", font_color: '#9C9C9C', bordercolor: "#CECECE", font_size: 16 }
            }

            Plotly.newPlot('k-graph',k_trace,layout);
            Plotly.newPlot('function-graph',function_trace,layout);
        }

        plot();

        document.getElementById('formula').addEventListener('input', plot);
        document.getElementById('from').addEventListener('input', plot);
        document.getElementById('to').addEventListener('input', plot);
        document.getElementById('n').addEventListener('input', plot);
    </script>
</div>
</BODY>
</HTML>